Finite Group Databasebeta

← Group #11772823

Character table — Group #11772823

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39
size1124444444888888161616162424242424244848484848484848487272144144
order1223346666266612126661288242424244441212121212124488
χ1111111111111111111111111111111111111111
χ2111111111111111111111111111-1-111-1-1-1-111-1-1
χ311111111111111111111-1-1-1-1-1-1-111-1-1111111-1-1
χ411111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111-11-1-111-1-1-11111111-1i−i-1-1ii−i−i1-1i−i
χ61111111111-11-1-111-1-1-11111111-1−ii-1-1−i−iii1-1−ii
χ71111111111-11-1-111-1-1-11-1-1-1-1-1-11i−i11ii−i−i1-1−ii
χ81111111111-11-1-111-1-1-11-1-1-1-1-1-11−ii11−i−iii1-1i−i
χ922222222222222222222000000000000000-2-200
χ102222222222-22-2-222-2-2-22000000000000000-2200
χ114441-2411-214-2-2-21111-2-222-1-1-1-1200-1-100000000
χ124441-2411-214-2-2-21111-2-2-2-21111-2001100000000
χ134441-2411-21-4-22211-1-12-222-1-1-1-1-2001100000000
χ144441-2411-21-4-22211-1-12-2-2-21111200-1-100000000
χ1544444-444440400-4-4000-40000000000000000000
χ16444-214-2-21-24111-2-2-2-21100000002200-1-1-1-10000
χ17444-214-2-21-24111-2-2-2-2110000000-2-20011110000
χ18444-214-2-21-2-41-1-1-2-222-1100000002i−2i00−i−iii0000
χ19444-214-2-21-2-41-1-1-2-222-110000000−2i2i00ii−i−i0000
χ20444-21-4-2-21-201332200-3-1000000000003−33−30000
χ21444-21-4-2-21-201332200-3-100000000000−33−330000
χ22444-21-4-2-21-201-3-322003-100000000000−i3i3i3−i30000
χ23444-21-4-2-21-201-3-322003-100000000000i3−i3−i3i30000
χ2444-41-20-1-1-2102−2i32i33-3−i3i3002-211-1-1000−i3i300000000
χ2544-41-20-1-1-2102−2i32i33-3−i3i300-22-1-111000i3−i300000000
χ2644-41-20-1-1-21022i3−2i33-3i3−i3002-211-1-1000i3−i300000000
χ2744-41-20-1-1-21022i3−2i33-3i3−i300-22-1-111000−i3i300000000
χ2844-4440-4-4440-4000000002-2-2-2220000000000000
χ2944-4440-4-4440-400000000-2222-2-20000000000000
χ308882-4-822-420-400-2-200040000000000000000000
χ3188-82-40-2-2-420400-6600000000000000000000000
χ3288-8-420442-40-2−2i32i3002i3−2i3000000000000000000000
χ3388-8-420442-40-22i3−2i300−2i32i3000000000000000000000
χ348-802-406-64-20000000000006−66−60000000000000
χ358-802-406-64-2000000000000−66−660000000000000
χ368-802-40-664-20000000000006−6−660000000000000
χ378-802-40-664-2000000000000−666−60000000000000
χ388-8088000-8-800000000000000000000000000000
χ3916-160-84000-4800000000000000000000000000000

Here i is the imaginary unit (i² = −1).